Everton will begin contract talks with Carlo Ancelotti after he was sacked as Napoli manager on Tuesday evening.
Former Everton boss David Moyes could still return to Goodison Park in an interim role, while a new permanent manager is put in place, Sky Sports News understands.
Arsenal are also considering Ancelotti, who managed Napoli for 19 months, to succeed Unai Emery, according to Sky in Italy
Napoli announced the decision to dismiss Ancelotti an hour after he led the club to the knockout stages of the Champions League with a 4-0 home win against Genk, ending a nine-match run in all competitions without victory.
A Napoli club statement read: “SSC Napoli has decided to revoke the role of first-team coach from Mr Carlo Ancelotti.
“The rapport of friendship, admiration and reciprocal respect between the club, its president (Aurelio De Laurentiis)and Carlo Ancelotti remain intact.
helsea manager Frank Lampard says his former boss Ancelotti is good enough to manage anywhere.
Speaking after the 2-1 win over Lille, Lampard was asked if the Italian could return to the Premier League.
He said: “I’ve got huge respect for him. I’m sorry to hear that [he has been sacked].
“I know it has been a tough situation for him lately. I saw his interview before the game and it was typically classy in what seemed like a tough time for him. He’s always handled himself brilliantly.
“I think he can manage anywhere in the world at the top level, of course.”